{“id”:“https://openalex.org/W2024729328“,”doi“:”https://doi.org/10.1007/s10915-012-9592-9“,”title“:”加速线性化Bregman方法“,”display_name“:”加速线性化Bregman方法“,”publication_year“:2012,”publication_date“:”2012-04-18“,”ids“:{”openalex“:”https://openalex.org/W2024729328“,”doi“:”https://doi.org/10.1007/s10915-012-9592-9“,”mag“:”2024729328“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/s10915-012-9592-9“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S151550017“,”display_name“:”Journal of scientific computing“,”issn_l“:”0885-7474“,”isn“:[”08857-7474“,”1573-7691“],”is_oa“:false,”is-in_doaj“:false,”is_core“:true,”host_organization“:”https://openalex.org/P4310318900“,”“host_organization_name”:“Springer Science+Business Media”,“host_organization_lineage”:[“https://openalex.org/P431031965","https://openalex.org/P4310318900“],”host_organization_lineage_names“:[”Springer Nature“,”Springer Science+Business Media“],”type“:”journal“},”license“:null,”license_id“:null,”version“:null,”is_accepted“:false,”is_published“:false},”type“:”article“,”type_crossref“:”journal article“,”indexed_in“:[”crossref“],”open_access“:{”is_oa“:true,”oa_status“:”green“,”oa_url“:”http://arxiv.org/pdf/106.5413.pdf“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5070028816“,”display_name“:”Bo Huang“,”orcid“:”https://orcid.org/0000-0002-7954-3205},“机构”:[{“id”:https://openalex.org/I78577930“,”display_name“:”哥伦比亚大学“,”ror“:”https://ror.org/00hj8s172“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I78577930“]}],”国家“:[”美国“],”is_corresponding“:false,”raw_author_name“:”Bo Huang“,”raw _affiliation_strings“:[“哥伦比亚大学工业工程与运筹学系,纽约,10027,美国”],”affiliations“:[{”raw _affiliation_string“:”哥伦比亚大学工业工程与运营研究系,美国纽约州纽约市,10027”,“institution_ids”:[“https://openalex.org/I78577930“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5008787209“,”display_name“:”石阡马“,”兽人“:”https://orcid.org/0000-0003-1967-1069},“机构”:[{“id”:https://openalex.org/I130238516“,”display_name“:”明尼苏达大学“,”ror“:”https://ror.org/017zqws13“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I130238516“]}],”countries“:[”US“],”is_corresponding“:true,”raw_author_name“:”Shiqian Ma“,”raw _affiliation_strings“:【”明尼苏达大学数学及其应用研究所,400 Lind Hall,207 Church Street SE,Minneapolis,MN,55455,USA“】,”afliations“:[{”raw _affiliation_string“:”明尼苏达大学数学及其应用研究所,地址:美国明尼阿波利斯市教堂街东南207号林德霍尔400号,邮编:55455”,“institution_ids”:[“https://openalex.org/I130238516“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5027297328“,”display_name“:”Donald Goldfarb“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I78577930“,”display_name“:”哥伦比亚大学“,”ror“:”https://ror.org/00hj8s172“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I78577930“]}],”国家“:[”美国“],”is_corresponding“:false,”raw_author_name“:”Donald Goldfarb“,”raw _ afiliation_strings“:[“哥伦比亚大学工业工程与运筹学系,纽约,10027,美国”],”affiliations“:[{”raw _affiliation_string“:”哥伦比亚大学工业工程与运营研究系,美国纽约州纽约市,10027”,“institution_ids”:[“https://openalex.org/I78577930“]}]}],”countries_disticont_count“:1,”institutions_disticent_count”:2,”corresponding_author_ids“:[”https://openalex.org/A5008787209“],”对应的机构ID“:[”https://openalex.org/I130238516“],”apc_list“:{”value“:2390,”currency“:”EUR“,”value_usd“:2990,”provenance“:”doaj“},”apc _payd“:null,”fwci“:6.716,”has_fulltext“:true,”fulltext_origin“:”ngrams“,”cited_by_count“:62,”cited_by_percentile_year“:”{“min”:96,”max“:97},“biblio”:{“volume”:“54”,“issue”:“2-3”,“first_p”年龄“:”428“,”last_page“:”453“},”is_retracted“:false,”is_paratext“:false,”主主题“:{”id“:”https://openalex.org/T10500“,”display_name“:”压缩传感理论与应用“,”score“:1.0,”subfield“:{”id“:”https://openalex.org/subfields/2206“,”display_name“:”计算力学“},”字段“:{”id“:”https://openalex.org/fields/22“,”display_name“:”Engineering“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T10500“,”display_name“:”压缩传感理论与应用“,”score“:1.0,”subfield“:{”id“:”https://openalex.org/subfields/2206“,”display_name“:”计算力学“},”字段“:{”id“:”https://openalex.org/fields/22“,”display_name“:”Engineering“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T11205“,”“display_name”:“数学物理与成像中的反问题”,“score”:0.9971,“subfield”:{“id”:“https://openalex.org/subfields/2610“,”display_name“:”数学物理“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T11739“,”display_name“:”乳腺癌微波成像检测“,”score“:0.997,”subfield“:{”id“:”https://openalex.org/subfields/2204“,”display_name“:”生物医学工程“},”字段“:{”id“:”https://openalex.org/fields/22“,”display_name“:”Engineering“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/sparse近似“,”display_name“:”稀疏近似“,”score“:0.586196},{”id“:”https://openalex.org/keywords/orthonal-matching-presture“,”display_name“:”正交匹配追踪“,”score“:0.552235},{”id“:”https://openalex.org/keywords/sparse-representations网站“,”display_name“:”稀疏表示“,”score“:0.527331},{”id“:”https://openalex.org/keywords/convex优化“,”display_name“:”凸优化“,”score“:0.527328},{”id“:”https://openalex.org/keywords/compressed-sensing网站“,”display_name“:”Compressed Sensing“,”score“:0.513843}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.75109196},{”id“:”https://openalex.org/C28826006,“wikidata”:https://www.wikidata.org/wiki/Q33521“,”display_name“:”应用数学“,”level“:1,”score“:0.5354713},{”id“:”https://openalex.org/C106487976,“wikidata”:https://www.wikidata.org/wiki/Q685816“,”display_name“:”Matrix(化学分析)“,”level“:2,”score“:0.5148717},{”id“:”https://openalex.org/C2780980858,“wikidata”:https://www.wikidata.org/wiki/Q110022“,”display_name“:”Dual(语法数字)“,”level“:2,”score“:0.5017481},{”id“:”https://openalex.org/C124851039,“wikidata”:https://www.wikidata.org/wiki/Q2665459“,”display_name“:”压缩感知“,”level“:2,”score“:0.49416402},{”id“:”https://openalex.org/C149073432,“wikidata”:https://www.wikidata.org/wiki/Q4960382“,”display_name“:”Bregman发散“,”level“:2,”score“:0.48173955},{”id“:”https://openalex.org/C126255220,“wikidata”:https://www.wikidata.org/wiki/Q141495“,”display_name“:”数学优化“,”level“:1,”score“:0.47578847},{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.4574283},{”id“:”https://openalex.org/C153258448,“wikidata”:https://www.wikidata.org/wiki/Q1199743“,”display_name“:”渐变下降“,”level“:3,”score“:0.4498113},{”id“:”https://openalex.org/C179799912,“wikidata”:https://www.wikidata.org/wiki/Q205084“,”display_name“:”计算复杂性理论“,”level“:2,”score“:0.4275781},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.17025375},{”id“:”https://openalex.org/C154945302,“wikidata”:https://www.wikidata.org/wiki/Q11660“,”display_name“:”人工智能“,”level“:1,”score“:0.09726247},{”id“:”https://openalex.org/C142362112,“wikidata”:https://www.wikidata.org/wiki/Q735“,”display_name“:”Art“,”level“:0,”score“:0.0},{”id“:”https://openalex.org/C192562407,“wikidata”:https://www.wikidata.org/wiki/Q228736“,”display_name“:”材料科学“,”level“:0,”score“:0.0},{”id“:”https://openalex.org/C124952713,“wikidata”:https://www.wikidata.org/wiki/Q8242“,”display_name“:”文学“,”等级“:1,”分数“:0.0},{”id“:”https://openalex.org/C50644808,“wikidata”:https://www.wikidata.org/wiki/Q192776“,”display_name“:”人工神经网络“,”level“:2,”score“:0.0},{”id“:”https://openalex.org/C159985019,“wikidata”:https://www.wikidata.org/wiki/Q181790“,”display_name“:”Composite material“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:3,”locations“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/s10915-012-9592-9“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S151550017“,”display_name“:”Journal of scientific computing“,”issn_l“:”0885-7474“,”isn“:[”08857-7474“,”1573-7691“],”is_oa“:false,”is-in_doaj“:false,”is_core“:true,”host_organization“:”https://openalex.org/P4310318900“,”“host_organization_name”:“Springer Science+Business Media”,“host_organization_lineage”:[“https://openalex.org/P431031965","https://openalex.org/P4310318900“],”host_organization_lineage_names“:[”Springer Nature“,”Springer-Science+Business Media“],“type”:“journal”},“license”:null,“licence_id”:nul,“version”:null,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:nuld,“pdf_url“:”http://arxiv.org/pdf/106.5413.pdf,“源”:{“id”:https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is.in_doaj“:false,”is_core“:fase,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”Cornell University“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“http://arxiv.org/abs/1106.5413,“pdf_url”:http://arxiv.org/pdf/106.5413,“源”:{“id”:https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is.in_doaj“:false,”is_core“:fase,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”康奈尔大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false}],“best_oa_location”:{“is_oa”:true,“landing_page_url”:nul,“pdf_url“:”http://arxiv.org/pdf/106.5413.pdf,“源”:{“id”:https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is.in_doaj“:false,”is_core“:fase,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”康奈尔大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},”sustainable_development_goals“:[],“grants”:[]、“datasets”:【】,“versions”:【],“referenced_works_count”:33,“referrenced_works”:[”https://openalex.org/W1603765807","https://openalex.org/W1984553293","https://openalex.org/W1996287810","https://openalex.org/W2001801912","https://openalex.org/W2005082281","https://openalex.org/W2009702064","https://openalex.org/W2011181254","https://openalex.org/W2011359124","https://openalex.org/W2028781966","https://openalex.org/W2033468335","https://openalex.org/W2051434435","https://openalex.org/W2057624533","https://openalex.org/W2061315188","https://openalex.org/W2072378378","https://openalex.org/W2076605490","https://openalex.org/W208304200","https://openalex.org/W2089559088","https://openalex.org/W2092554297","https://openalex.org/W2100556411","https://openalex.org/W2103972604","https://openalex.org/W2118550318","https://openalex.org/W2119058682","https://openalex.org/W2124541940","https://openalex.org/W2131448432","https://openalex.org/W2134332047","https://openalex.org/W2135779729","https://openalex.org/W2145096794","https://openalex.org/W2167732364","https://openalex.org/W2611328865","https://openalex.org/W2622248957","https://openalex.org/W3104501706","https://openalex.org/W4249667877","https://openalex.org/W4250955649“],”related_works“:[”https://openalex.org/W952002620","https://openalex.org/W4319453353","https://openalex.org/W4200078764","https://openalex.org/W3163340401","https://openalex.org/W3020853991","https://openalex.org/W2790371392","https://openalex.org/W2774022454","https://openalex.org/W2158224665","https://openalex.org/W2140505738","https://openalex.org/W1971945429“],”ngrams_url“:”https://api.openalex.org/works/W2024729328/ngrams“,”“abstract_inverted_index”:{“In”:[0],“this”:[1,77],“paper”:[2],“we”:[3],“propose”:[4],“and”:[5,18,42,72,97],“analyze”:[6],“an”:[7,69],“accelerated”:[8,24],“linearized”:[9,33],“Bregman”:[10,34],“(ALB)”:[11],“method”:[12,51,63108],“for”:[13],“求解”:[14],“the”:[15,29,32,61,73,85106114],“base”:[16],“pursing”:[17],“related”:[19],“sparse”:[20]优化“:[21],”问题。“:[22],”This“:[23],”algorithm“:[25,36,75],”is“:26,45],”based“:[27],”on“:[28,89,94],”fact“:[30],”that“:[31,60103105],”(LB)“:[35],”first“:[37],”proposed“:[38],”by“:[39],”Stanley“:[40],”Osher“:[41],”his“:[43],”collaborators“:%44],”equivalent“:[44]46],“到”:[47,53,67,80],“a”:[48,54],“梯度”:[49],“下降”:[50],“应用”:[52],“确定”:[55],“双重“:[56],”提法。“:[57],“我们”:[58],“显示”:[59],“LB”:[62115],“需要”:[64],“O(1/\u03f5)”:[65],“迭代”:[66],“获得”:[68],“\u03f5-最优”:[70],“解决方案”:[71],“ALB”:[74107],“减少”:[76],“反复”:[78],“复杂性”:[79],“$O(1/\\sqrt{\\epsilon})$”:[81],“while”:[82],“requirement”:[83],“almost”:[84],“same”:[86],“computative”:[87],“effect”:[88],“each”:[90]迭代。“:[91],”数值“:[92],”结果“:[93],”压缩“:[95],”感知“:[96],”矩阵“:[98],”完成“:[99],”问题“:[100],”是“:[101],”呈现“:[102],”演示“:[104],”可以“:[109],”被“:[110],”显著“:[111],”更快“:[112],”比“:[113],”方法。“:[116]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W2024729328“,”counts_by_year“:[{”年“:2024,”cited_by_count“:2},{”年份“:2023,”ciped_by_cunt“:4},”{“年份”:2022,“cited_by_count”:7},“年”:2021,“年份”:2017,“引用_ by_count”:7},{“年份”:2016,“引用_by_counts”:6},}“年份“:2015,”引用_ by-count“:4},{“年份”:2014,“引用_ by_count”:6},{”年份”:2013,“引用_by_counts”:8},}”年份“:2012,“引用的_by_cunt”:1}],“更新日期”:“2024-06-28T23:43:04.957895”,“创建日期”:”2016-06-24“}